Chart, Seth William2016-05-022016-05-0220162016-05-02http://hdl.handle.net/1828/7242We apply anisotropic Banach space methods together with operator renewal theory to obtain polynomial rates of decay of correlations for a class of generalized baker's transformations. The polynomial rates were proved for a smaller class of observables in a 2013 paper of Bose and Murray by fundamentally different methods. Our approach provides a direct analysis of the Frobenius-Perron operator associated to a generalized baker's transformation in contrast to the paper of Bose and Murray where decay rates are obtained for a factor map and lifted to the full map.enAvailable to the World Wide WebSmooth Ergodic TheoryDecay of CorrelationsGeneralized Baker's TransformationsDynamical SystemsThesis